MATH 420 FINAL EXAM DECEMBER 2013 PROF. CAGINALP
No books, notes, calculators, etc. Explain all of your reasoning.
Each problem is worth 20 points.
1. Explain how the exponential and logarithm functions can be used to define b x for
all x in R .
2. a Let

Solutions. MATH 0420 EXAM 2 NOVEMBER 22, 2013
No books, notes, etc. Explain all reasoning.
1. (20 points) Using the limit definition of derivative prove that
d 5x 2 3 10x.
dx
You can use basic theorems on limits (e.g., sum of limits) and do not have to us

MATH 0420 info for the nal exam
Kiumars Kaveh
December 5, 2014
The nal is accumulative but the emphasis is more on Chapter 5 and
Sections 6.1 and 6.2.
There will be 5-6 questions in the test.
You are required to know/study the examples in the sections

MATH 0420 info for midterm 2
Kiumars Kaveh
November 12, 2014
The midterm covers: Sections 3.5, 4.1-4.4 and 5.1-5.2
There will be 4-5 questions in the test.
The emphasis of the test is on Chapters 4 and 5 but of course you still
need to know material fr

Lon Capa basics
Logging in
Lon Capa can be accessed from any computer with internet connection.
Go to http:/homework.math.pitt.edu/ or http:/homework.phyast.pitt.edu/ (you can also
Google Lon Capa Pitt and click on the rst link)
If youre logging in for th

Calc 3 F2013, Flux integrals
Flux integrals
Flux integral is an integral of a vector eld over a surface.
F dS =
S
F (ru rv ) dA
D
General strategy
First determine how many dierent surfaces are there, and break the integral into sum of integrals
over each